What is the result of subtracting the second equation from the first? -3x+2y=7 -3x-2y=4
1 answer:
The result of subtracting the second equation from the first is
<u><em>Solution: </em></u>
Given system of equations are:
-3x + 2y = 7 ----- eqn 1
and -3x - 2y = 4 ---- eqn 2
We have to find the result of subtracting the second equation from the first
So we have to subtract second equation from the first
-3x - 2y = 4
-3x + 2y = 7
(-) -----------------
-4y = -3
4y = 3
Thus the result of subtracting the second equation from the first is
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Step-by-step explanation:
We need to get both of them to a common denominator. The simplest way to do this is just multiply the denominators by each other. this comes out to 135. But what you do to the denominator, you have to do to the numerator. 5(15)/9(15). 4(9)/15(9)
The 5/9 comes out to be 75/135 and the 4/15 comes out to be 36/135. Subtract the Smaller one from the bigger one to find the difference, in this case being 39/135. Then to simplify, we need see if we can find a common factor of 135 and 39, which we do: 3. divide both of them by three, and we get the final answer to come out as 13/45, which is the final answer (we know it cant simplify any further since 13 is a prime number).